Timeline for Stability of perturbation of an elliptic problem into a parabolic PDE
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
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| S Oct 25 at 20:09 | history | bounty ended | CommunityBot | ||
| S Oct 25 at 20:09 | history | notice removed | CommunityBot | ||
| Oct 17 at 19:02 | comment | added | ABIM | @mlk I fixed this, but I still have not managed to find pertrubation bounds. | |
| S Oct 17 at 18:57 | history | bounty started | ABIM | ||
| S Oct 17 at 18:57 | history | notice added | ABIM | Authoritative reference needed | |
| Sep 3 at 12:03 | history | undeleted | ABIM | ||
| Sep 3 at 12:03 | history | deleted | ABIM | via Vote | |
| Aug 15 at 4:13 | history | undeleted | ABIM | ||
| Aug 14 at 17:26 | history | deleted | ABIM | via Vote | |
| Aug 14 at 15:04 | history | edited | YCor | CC BY-SA 4.0 |
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| Aug 14 at 14:13 | history | edited | ABIM | CC BY-SA 4.0 |
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| Aug 14 at 8:40 | comment | added | mlk | I don't understand your notation. If $f$ is only defined on the boundary of the unit cube, how can you have $u=f$ on $\mathbb{R}^d$? In any case, the first approach to such a problem would be to take the Fourier transform with respect to $x$, possibly even starting in 1d for simplicity. This gives you a bunch of independent ODEs which can be explicitly solved and will tell you a lot about the behaviour and about what initial and boundary conditions could work. | |
| Aug 14 at 3:27 | history | edited | ABIM | CC BY-SA 4.0 |
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| Aug 14 at 3:25 | comment | added | ABIM | Really I would only want that $u(x,T)=f(x)$ for some smooth function f on $\mathbb{R}^d$, not sure what the boundary condition for the corresponding elliptic problem should be tbh... | |
| Aug 14 at 3:14 | comment | added | Michael Renardy | This is too many boundary conditions when $\eta=0$. So as it stands, the problem is not properly formulated. | |
| Aug 14 at 0:21 | history | edited | ABIM | CC BY-SA 4.0 |
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| Aug 14 at 0:14 | history | edited | ABIM | CC BY-SA 4.0 |
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| Aug 13 at 23:58 | history | asked | ABIM | CC BY-SA 4.0 |